AP EAMCET · Maths · Parabola
If the normal chord drawn at \((2 a, 2 a \sqrt{2})\) on the parabola \(y^2=4 a x\) subtends an angle \(\theta\) at its vertex, then \(\theta=\)
- A \(45^{\circ}\)
- B \(90^{\circ}\)
- C \(135^{\circ}\)
- D \(60^{\circ}\)
Answer & Solution
Correct Answer
(B) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
Normal chord is drawn at \(P(2 a, 2 a \sqrt{2})\) Let \(P Q\) be a normal chord normal at \(P\) to the parabola \(\therefore\) Co-ordinates of \(Q=(8 a,-4 a \sqrt{2})\) Vertex \(=S(0,0)\) Slope of \(S P \times\) Slope of…
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